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Collision-based implementation of a two-bit adder in excitable cellular automaton

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  • Zhang, Liang
  • Adamatzky, Andrew

Abstract

In a collision-based computer [Adamatzky A, editor. Collision based computing, Springer; 2003] the information is represented by localizations (gliders, solitons, breathers, kinks) traveling in a spatially-extended nonlinear medium, and the computation is implemented when localizations interact with each other, parameters of the localizations after interaction represent results of the computation. Using cellular automaton model of two-dimensional excitable lattice we construct fully functional two-bit adder and thus demonstrate viability of collision-based computing schemes in excitable media. Every resting cell of the automaton lattice takes excited state if there is exactly two excited neighbors, transitions from excited state to refractory state, and from refractory state to resting state are unconditional. We envisage that designs presented in the paper will be used in future developments of arithmetical circuits in excitable media and collision-based chips.

Suggested Citation

  • Zhang, Liang & Adamatzky, Andrew, 2009. "Collision-based implementation of a two-bit adder in excitable cellular automaton," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1191-1200.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:3:p:1191-1200
    DOI: 10.1016/j.chaos.2008.04.050
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    References listed on IDEAS

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    1. De Lacy Costello, Benjamin & Adamatzky, Andrew, 2005. "Experimental implementation of collision-based gates in Belousov–Zhabotinsky medium," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 535-544.
    2. Maccari, Attilio, 2006. "Chaos, solitons and fractals in hidden symmetry models," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 363-376.
    3. Adamatzky, Andrew & Wuensche, Andrew & De Lacy Costello, Benjamin, 2006. "Glider-based computing in reaction-diffusion hexagonal cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 287-295.
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